Question

When the positive integers a, b and c are divided by13,the respective reminders are 9,7 and 10.Show that a+b+c is divisible by13?

Answer 1

Answer:

Step-by-step explanation:

Since 9 will be the remainder when a is divided by 13, a can be written as a=13m+9

Similarly b=13n+7 and c=13p+10

So a+b+c=13m+9+13n+7+13p+10

=13(m+n+p)+26

=13(m+n+p+2)

So a+b+c is divisible by 14